Finding the Third Proportional to 312,293.25 and 467,586

Step by Step Solution

1. Step 1: Write the proportion equation
   312,293.25 : 467,586 = 467,586 : x
2. Step 2: Convert to fraction form
   312,293.25/467,586 = 467,586/x
3. Step 3: Cross multiply
   312,293.25x = 467,586 × 467,586
4. Step 4: Simplify right side
   312,293.25x = 218,636,667,396
5. Step 5: Solve for x
   x = 218,636,667,396/312,293.25
6. Step 6: Final answer
   x = 700,100.52